A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs

Authors

  • Ali Nakhaei Amroudi Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
  • Ali Reza Shojaeifard Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
  • Mojtaba Pirhaji Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
Abstract:

An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and proved. Moreover, we obtain a polynomial time complexity bound which matches the currently best known iteration bound for infeasible interior-point methods.

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Journal title

volume 14  issue 1

pages  127- 146

publication date 2019-04-01

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